Within this century, we may hit a limit as to how fast we can make our computer processors. As it turns out, there is a speed limit so to say on how fast a processor can possibly run, which means that Moore's Law will eventually become a thing of the past as we keep nearing that limit. Some estimates say around 75 years, others say around 20.
"Technological barriers" however could slow down the progress towards the limit, because as the components get smaller and smaller and we get into quantum computers, there are many small things that could hinder our progress, things like temperature change and little kinks in wires which could "cause havoc" to the system unlike in an electrical computer.
The speed limit does not account for the fact that advances in human technology are only made when hidden sects of the government release fragments of alien technology harvested from various crash sites over the years.
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Marcus